MCQMediumJEE 2025Alkyl Halides

JEE Chemistry 2025 Question with Solution

Reaction scheme showing RBr treated with magnesium in dry ether and then water to give 2-methylbutane, followed by asking the maximum number of RBr producing this product considering structural isomers only.
  • A

    33

  • B

    55

  • C

    44

  • D

    66

Answer

Correct answer:A

Step-by-step solution

Standard Method

Given: RBr(ii) H2O(i) Mg, dry etherRBr \xrightarrow[\text{(ii) } H_2O]{\text{(i) Mg, dry ether}} 2-methylbutane.

Find: The maximum number of structural isomers of RBrRBr that can produce 2-methylbutane by this sequence.

Formation of a Grignard reagent from RBrRBr gives RMgBrRMgBr. On hydrolysis with water, the product is the corresponding hydrocarbon RHRH. Therefore, RR in RBrRBr must be the 2-methylbutyl skeleton.

So we need all structural isomers of bromides having the carbon skeleton of 2-methylbutane that on replacement of Br by H give the same hydrocarbon.

The distinct positions for bromine in 2-methylbutane are:

  1. 1-Bromo-3-methylbutane
  2. 1-Bromo-2-methylbutane
  3. 2-Bromo-3-methylbutane

The two terminal positions on one side are equivalent by symmetry, so they do not generate additional structural isomers.

Hence, the maximum number of structural isomers of RBrRBr is

33

Therefore, the correct option is A.

Resolving the discrepancy in the extracted solution

The provided the solution contains two approaches. Approach Solution - 1 counts isomers of C4H9BrC_4H_9Br and concludes 44, which corresponds to a different question and is unrelated to the product 2-methylbutane shown in the image.

Approach Solution - 2 matches the reaction shown in the image and correctly identifies the bromides that produce 2-methylbutane after Grignard formation and hydrolysis. Therefore, this approach is the relevant one for the present question.

Since hydrolysis of RMgBrRMgBr gives RHRH, all valid reactants must be structural isomers of bromopentane having the 2-methylbutane carbon framework. Counting distinct bromine positions on that framework gives 33 isomers.

Therefore, despite the conflicting first extracted approach, the correct answer from the relevant working is 33, so the correct option is A.

Common mistakes

  • Counting all isomers of C4H9BrC_4H_9Br is incorrect because the product 2-methylbutane has 55 carbon atoms. Instead, first infer that RBrRBr must be a bromopentane isomer whose hydrolysis after Grignard formation gives the same C5C_5 skeleton.

  • Assuming every carbon in 2-methylbutane gives a different bromide overcounts isomers. Some positions are equivalent by symmetry, so only distinct substitution positions should be counted.

  • Forgetting the role of hydrolysis of the Grignard reagent leads to wrong products. In this sequence, RBrRMgBrRHRBr \to RMgBr \to RH, so the hydrocarbon obtained directly reveals the alkyl group RR.

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